Date of Award
2020-01-01
Degree Name
Master of Science
Department
Mathematical Sciences
Advisor(s)
Emil D. Schwab
Abstract
The study of words as a mathematical object is a deep and rich field of study. Algebra, Combinatorics, Theoretical Computer Science etc., are major disciplines, which are fully using this study. Combinatorial properties (via Codes, Free Hulls, Infinite Words), and algebraic properties of words are presented in this Thesis. The free semigroup on a set (alphabet) X and finite presentation of semigroups have a central place in the algebraic study of words. The last part of the Thesis is devoted to the study of identities in the alphabet X = {x,y} for a class of monoids. The characterization of such identities are given gradually; some elementary identities are established at the beginning. Using the canonical form of a word, mainly triples of positive integers are those that determine all these identities.
Language
en
Provenance
Received from ProQuest
Copyright Date
2020-05
File Size
63 pages
File Format
application/pdf
Rights Holder
Enrique Salcido
Recommended Citation
Salcido, Enrique, "Free Semigroups and Identites for a Class of Monoids" (2020). Open Access Theses & Dissertations. 3033.
https://scholarworks.utep.edu/open_etd/3033